Answer: x=- 17 / 8
Step-by-step explanation:
1
0
(
+
1
)
=
2
−
7
{\color{#c92786}{10(x+1)}}=2x-7
10(x+1)=2x−7
1
0
+
1
0
=
2
−
7
{\color{#c92786}{10x+10}}=2x-7
10x+10=2x−7
2
Subtract
1
0
10
10
from both sides of the equation
3
Simplify
4
Subtract
2
2x
2x
from both sides of the equation
5
Simplify
Answer:
f is increasing on interval (-infty, 13/4)
Inequality notation: x<13/4
In words: f is increasing on the interval of x that is less than 13/4.
Step-by-step explanation:
f is increasing on interval of x if f' of such interval is positive.
f=-2x^2+13x-8
Differentiate both sides
(f)'=(-2x^2+13x-8)'
Sum and difference rule:
f'=(-2x^2)'+(13x)'-(8)'
Constant multiple rule:
f'=-2(x^2)'+13(x)'-(8)'
Power rule (recall x=x^1):
f'=-2(2x^1)+13(1x^0)-(8)'
Constant rule:
f'=-2(2x^1)+13(1x^0)-(0)
Recall again x^1=x:
f'=-2(2x)+13(1x^0)-(0)
Recall x^0=1:
f'=-2(2x)+13(1×1)-(0)
Associative property of multiplication:
f'=-(2×2)x+13(1×1)-(0)
Performed grouped multiplication:
f'=-(4)x+13(1)-(0)
f'=-4x+13-(0)
Additive identity:
f'=-4x+13
f' is positive when -4x+13>0.
Subtract 13 on both sides:
-4x>-13
Divide both sides by -4:
x<-13/-4
x<13/4
f is increasing on interval (-infty, 13/4)
Answer:
240 divide by 6 is 40. the mph is 40
<span>4.110, or 4.11 is greater than 4.10 because there is an additional hundredth. This makes it bigger by a hundredth — it is not a lot greater than 4.10, but it is greater than 4.10.</span>
